How to determine whether a function f(x) is continuous at a particular point x=a.
How to determine whether a function f(x) is continuous everywhere on its domain.
How to solve simple differential equations.
How to use differential equations to represent exponential growth or exponential decay.
How to evaluate the limit of a function using continuity.
How to evaluate the limit of a function at points where it is not continuous.
How to solve position, velocity and acceleration problems using differentiation equations.
How to show that polynomial functions are continuous functions.
How to use the fundamental theorem of calculus to evaluate a definite integral.